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Finding the Fourth Proportional to 56,889.30, 85,335.78 and 19,447.86

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Solution

The fourth proportional to 56,889.30, 85,335.78 and 19,447.86 is: 29,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,889.30 : 85,335.78 = 19,447.86 : x
  2. Step 2: Convert to fraction form
    56,889.30/85,335.78 = 19,447.86/x
  3. Step 3: Cross multiply
    56,889.30x = 85,335.78 × 19,447.86
  4. Step 4: Simplify right side
    56,889.30x = 1,659,598,695.37
  5. Step 5: Solve for x
    x = 1,659,598,695.37/56,889.30
  6. Step 6: Final answer
    x = 29,172.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.